Using Mailgun API to send and receive mails with gmail account?

Hi everybody, I want to start using Mailgun API with laravel instead of using gmail smtp and Mailables as I have been using for my small scale apps so far. Issue is I want the mails to be sent from my gmail account so that if a user replies to my sent mail I or my client can reply back using my gmail account credentials, is it possible to do with Mailgun? the concept of mailgun domains is a bit foreign to me still.

So is it possible to use Mailgun API to send 10.000 mails a month for free but using gmai account for easier managing.